Výsledky vyhľadávania
Názov Generalized convexities related to aggregation operators of fuzzy sets Aut.údaje Susana Díaz ... [et al.] Autor Díaz Susana (5%)
Spoluautori Induráin Esteban (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Llinares Juan Vicente (5%)
Montes Susana (5%)
Zdroj.dok. Kybernetika. Roč. 53, č. 3 (2017), s. 383-393. - Praha : Akademie věd České republiky, 2017 Kľúč.slová fuzzy množiny - fuzzy sets konvexnosť - convexity aggregation functions Jazyk dok. angličtina Krajina Česká republika Systematika 51 Anotácia We analyze the existence of fuzzy sets of a universe that are convex with respect to cer- tain particular classes of fusion operators that merge two fuzzy sets. In addition, we study aggregation operators that preserve various classes of generalized convexity on fuzzy sets. We focus our study on fuzzy subsets of the real line, so that given a mapping F : [0, 1] × [0,1] → [0,1], a fuzzy subset, say X, of the real line is said to be F-convex if for any x,y,z ∈ R such that x ≤ y ≤ z, it holds that μX(y) ≥ F(μX(x),μX(z)), where μX : R → [0,1] stands here for the membership function that defines the fuzzy set X. We study the existence of such sets paying attention to different classes of aggregation operators (that is, the corresponding functions F , as above), and preserving F -convexity under aggregation of fuzzy sets. Among those typical classes, triangular norms T will be analyzed, giving rise to the concept of norm convexity or T-convexity, as a particular case of F-convexity. Other different kinds of generalized convexities will also be discussed as a by-product Kategória publikačnej činnosti ADC Číslo archívnej kópie 40454 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
nerozpoznaný
Názov Aggregation of convex intuitionistic fuzzy sets Aut.údaje Suzana Diaz ... [et al.] Autor Diaz Suzana (10%)
Spoluautori Induráin Esteban (10%)
Janiš Vladimír 1963- (70%) UMBFP10 - Katedra matematiky
Montes Susana (10%)
Zdroj.dok. Information sciences. Vol. 308, (2015), pp. 61-71. - New York : Elsevier Science Ltd., 2015 Kľúč.slová fuzzy množiny - fuzzy sets intuitionistic fuzzy sets konvexnosť - convexity aggregation functions Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia Aggregation of intuitionistic fuzzy sets is studied from the point of view of preserving vari- ous kinds of convexity. We focus on aggregation functions for intuitionistic fuzzy sets. These functions correspond to simultaneous separate aggregations of the membership as well as of the nonmembership indicators. It is performed by means of the so-called repre- sentable functions. Sufficient and necessary conditions are analyzed in order to guarantee that the composition of two intuitionistic fuzzy sets preserves convexity Kategória publikačnej činnosti ADC Číslo archívnej kópie 33029 Kategória ohlasu WU, Xiu-Yun - BAI, Shi-Zhong. On M-fuzzifying JHC convex structures and M-fuzzifying Peano interval spaces. In Journal of intelligent & fuzzy systems. ISSN 1064-1246, 2016, vol. 30, no. 4, pp. 2447-2458.
SONG, Yafei - WANG, Xiaodan - WU, Wenhua - LEI, Lei - QUAN, Wen. Uncertainty measure for Atanassov’s intuitionistic fuzzy sets. In Applied intelligence. ISSN 0924-669X, 2017, vol. 46, no. 4, pp. 757-774.
WU, Xiu Yun - LI, Er Qiang - BAI, Shi Zhong. Geometric properties of M-fuzzifying convex structures. In Journal of intelligent and fuzzy systems. ISSN 1064-1246, 2017, vol. 32, no. 6, pp. 4273-4284.
RASHID, Tabasam - BEG, Ismat. Convex hesitant fuzzy sets. In Journal of intelligent and fuzzy systems. ISSN 1064-1246, 2016, vol. 30, no. 5, pp. 2791-2796.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný